Pith Number

pith:O4T5B4PV

pith:2015:O4T5B4PVYYFLGLVH6V6BMSJLTL

not attested not anchored not stored refs pending

Continuity of the path delay operator for dynamic network loading with spillback

Benedetto Piccoli, Ke Han, Terry L. Friesz

arxiv:1501.04241 v2 · 2015-01-17 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4T5B4PVYYFLGLVH6V6BMSJLTL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:18:23.488153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7727d0f1f5c60ab32ea7f57c16492b9adb55065a76454606e775d4f593bfa916

Aliases

arxiv: 1501.04241 · arxiv_version: 1501.04241v2 · doi: 10.48550/arxiv.1501.04241 · pith_short_12: O4T5B4PVYYFL · pith_short_16: O4T5B4PVYYFLGLVH · pith_short_8: O4T5B4PV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O4T5B4PVYYFLGLVH6V6BMSJLTL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7727d0f1f5c60ab32ea7f57c16492b9adb55065a76454606e775d4f593bfa916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b19437be9c9d46a8c2e6e506c2206439036e276688ce2e19395b485be02f075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-17T22:51:47Z",
    "title_canon_sha256": "b812363293e4137c37e203305f9a3c073d0cf77085af12eb5fad720c4bae578b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04241",
    "kind": "arxiv",
    "version": 2
  }
}